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During my trip to work, I spent 3/4 of the time driving on the highway, during which I covered 5/6 of the distance. My average speed on the highway was 60 miles per hour. Find my average speed, in miles per hour, during the time I was not on the highway. Please explain all the math.

 Apr 3, 2019
 #1
avatar+476 
-4

Just keep this in mind (No offense) 

 

https://web2.0calc.com/questions/you-know-what-guarantees-i-won-t-look-at-your-problem

 Apr 3, 2019
 #4
avatar+7 
0

I'm very sorry, it's just that this is my first question. I promise not to do it again.

dumbpeep  Apr 4, 2019
 #5
avatar+476 
-5

we mean well man just a reminder no worries I just asked her to help give reminders out because we don't want to facilate people being rude (and I am not saying you) I just mean that we don't want to facilate that oor any obnoixus manner.

HiylinLink  Apr 4, 2019
edited by HiylinLink  Apr 4, 2019
edited by HiylinLink  Apr 4, 2019
 #2
avatar+102763 
+3

LovinLife is right. Your title could have stopped you getting an answer.

 

During my trip to work, I spent 3/4 of the time driving on the highway, during which I covered 5/6 of the distance. My average speed on the highway was 60 miles per hour. Find my average speed, in miles per hour, during the time I was not on the highway. Please explain all the math.

 

To be honest I do not know exactly where I am going as I progress through my answer.

I am following a bouncing ball and with luck it will take me where I need to go. 

 

Why not let the distance to work be D km.   and the time taken be T

 

Highway distance = 5/6 of D

Highway time = 3/4 of T

 

 

Speed = distance /time

 

Highway speed =

 \(=\frac{5D}{6}\div \frac{3T}{4}\\ =\frac{5D}{6}\times \frac{4}{3T}\\ =\frac{5D}{3}\times \frac{2}{3T}\\ =\frac{10D}{9T}\)

 

so

\(\frac{10D}{9T}=60\\ \frac{D}{9T}=6\\ D=54T\\\)

Minor road distance = 1/6 of D = 1/6  of  54T = 9T

Minor road time = 1/4 of T

 

Minor road speed

= 9T / 1/4 of T

\(=9T \div \frac{T}{4}\\ =9T \times \frac{4}{T}\\ =36 miles /hour\)

 

I have not checked my answer.  You should do that :)

 Apr 3, 2019
 #6
avatar+476 
-4

Wow real storng work Melody must have been time consuming.

HiylinLink  Apr 4, 2019
 #3
avatar+18754 
+1

1/4 of your time is at the lower speed and you cover 1/6 of the distance

Rate x time = distance

60 x 3/4t = 5/6  solve for t          5/6 / (3/4 x 60) = t   = 5/270

y x 1/4 (5/270)  = 1/6     solve for y = 36 mph

 Apr 3, 2019

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